What is the Least Common Multiple of 85952 and 85958?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 85952 and 85958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85952 and 85958, than apply into the LCM equation.

GCF(85952,85958) = 2
LCM(85952,85958) = ( 85952 × 85958) / 2
LCM(85952,85958) = 7388262016 / 2
LCM(85952,85958) = 3694131008

Least Common Multiple (LCM) of 85952 and 85958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85952 and 85958. First we will calculate the prime factors of 85952 and 85958.

Prime Factorization of 85952

Prime Factorization of 85958

Now multiplying the highest exponent prime factors to calculate the LCM of 85952 and 85958.

LCM(85952,85958) = 2⁶ × 17¹ × 79¹ × 42979¹
LCM(85952,85958) = 3694131008